MSC2020 database

<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en"> <head> <title> MSC2020 database </title> <link rel="shortcut icon" href="https://www.ams.org/images/content/bubbles.png" type="image/x-icon"> <link rel="icon" href="https://www.ams.org/images/content/bubbles.png" type="image/x-icon"> <link rel="stylesheet" type="text/css" href="/mathscinet/css/print.css" /> <link rel="stylesheet" type="text/css" href="/mathscinet/javascript/jquery/jquery.autocomplete.css" /> <style type="text/css" media="screen"> @import url(/mathscinet/css/msn.css); </style> <link rel="stylesheet" type="text/css" href="/mathscinet/css/styles-primary.css" /> <style type="text/css"> body, input, select { font-family: Verdana, "Bitstream Vera Sans", Arial, Helvetica, sans-serif; } h3, ul.tabContainer, .erdosNumber, .helptopic, .helpsubtopic { font-family: "Trebuchet MS", "Bitstream Vera Sans", "Lucida Grande", "Nimbus Sans L", Verdana, Arial, Helvetica, sans-serif; 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}); </script> <div class="folderWrap1"> <div class="folderWrap2"> <div class="folderWrap4"> <div class="folderContent"> <form name="searchMSC2" method="get" action="msc2020.html" style="width: auto;"> <div class="summary" id="summary2"> </div> <br style="clear: both;" /> <div class="widgets"> <div class="controlsPosition2"> <h3>Browse Classification</h3> <span class="enter_msc" style="float:both;">Select a 2 digit classification</span><br /> <select name="t" id="selectTarget2" tabindex="1" onchange="if (this.value != '') { this.form.elements[2].click(); }"> <option value="">Select a Mathematics subject classification</option> <option value="00-XX">00 General and overarching topics; collections</option> <option value="01-XX">01 History and biography</option> <option value="03-XX">03 Mathematical logic and foundations</option> <option value="05-XX">05 Combinatorics </option> <option value="06-XX">06 Order, lattices, ordered algebraic structures</option> <option value="08-XX">08 General algebraic systems</option> <option selected="selected" value="11G30">11 Number theory</option> <option value="12-XX">12 Field theory and polynomials</option> <option value="13-XX">13 Commutative algebra</option> <option value="14-XX">14 Algebraic geometry</option> <option value="15-XX">15 Linear and multilinear algebra; matrix theory</option> <option value="16-XX">16 Associative rings and algebras </option> <option value="17-XX">17 Nonassociative rings and algebras</option> <option value="18-XX">18 Category theory; homological algebra </option> <option value="19-XX">19 $K$-theory</option> <option value="20-XX">20 Group theory and generalizations</option> <option value="22-XX">22 Topological groups, Lie groups </option> <option value="26-XX">26 Real functions</option> <option value="28-XX">28 Measure and integration </option> <option value="30-XX">30 Functions of a complex variable</option> <option value="31-XX">31 Potential theory </option> <option value="32-XX">32 Several complex variables and analytic spaces </option> <option value="33-XX">33 Special functions (33-XX deals with the properties of functions as functions) </option> <option value="34-XX">34 Ordinary differential equations</option> <option value="35-XX">35 Partial differential equations</option> <option value="37-XX">37 Dynamical systems and ergodic theory</option> <option value="39-XX">39 Difference and functional equations</option> <option value="40-XX">40 Sequences, series, summability</option> <option value="41-XX">41 Approximations and expansions </option> <option value="42-XX">42 Harmonic analysis on Euclidean spaces</option> <option value="43-XX">43 Abstract harmonic analysis </option> <option value="44-XX">44 Integral transforms, operational calculus </option> <option value="45-XX">45 Integral equations</option> <option value="46-XX">46 Functional analysis </option> <option value="47-XX">47 Operator theory</option> <option value="49-XX">49 Calculus of variations and optimal control; optimization</option> <option value="51-XX">51 Geometry </option> <option value="52-XX">52 Convex and discrete geometry</option> <option value="53-XX">53 Differential geometry </option> <option value="54-XX">54 General topology </option> <option value="55-XX">55 Algebraic topology</option> <option value="57-XX">57 Manifolds and cell complexes </option> <option value="58-XX">58 Global analysis, analysis on manifolds</option> <option value="60-XX">60 Probability theory and stochastic processes </option> <option value="62-XX">62 Statistics</option> <option value="65-XX">65 Numerical analysis</option> <option value="68-XX">68 Computer science </option> <option value="70-XX">70 Mechanics of particles and systems </option> <option value="74-XX">74 Mechanics of deformable solids</option> <option value="76-XX">76 Fluid mechanics </option> <option value="78-XX">78 Optics, electromagnetic theory </option> <option value="80-XX">80 Classical thermodynamics, heat transfer </option> <option value="81-XX">81 Quantum theory</option> <option value="82-XX">82 Statistical mechanics, structure of matter</option> <option value="83-XX">83 Relativity and gravitational theory</option> <option value="85-XX">85 Astronomy and astrophysics </option> <option value="86-XX">86 Geophysics</option> <option value="90-XX">90 Operations research, mathematical programming</option> <option value="91-XX">91 Game theory, economics, finance, and other social and behavioral sciences</option> <option value="92-XX">92 Biology and other natural sciences</option> <option value="93-XX">93 Systems theory; control </option> <option value="94-XX">94 Information and communication theory, circuits</option> <option value="97-XX">97 Mathematics education</option> </select> </div> <div class="controlsPosition"> <h3>Search Classifications</h3> <span class="enter_msc">Enter a keyword, phrase or a 2-, 3-, or 5-digit classification</span><br /> <input size="40" autocomplete="off" name="s" value="" id="search2" /> <div class="buttonBox"> <input name="btn" type="submit" value="Search" class="button" /> </div> </div> </div> <input type="hidden" name="ls" value="Ct" /> <div class="resultSet" id="resultSet2"> <div class="buttonBox"> <input type="submit" name="btn" value="Clear" class="button" /> </div> <span class="legend"> < <a href="msc2020.html?t=11Fxx&btn=Current">11Fxx</a> | <a href="msc2020.html?t=11-XX&btn=Current">11-XX</a> | <a href="msc2020.html?t=11Hxx&btn=Current">11Hxx</a> > </span> <table class="results"> <tr class="current"> <td><a href="msc2020.html?t=11-XX&btn=Current" title=""><b>11-XX</b></a></td> <td></td> <td></td> <td><b>Number theory</b></td> </tr> <tr class="current"> <td></td> <td><a href="msc2020.html?t=11Gxx&btn=Current" title="">11Gxx</a></td> <td></td> <td>Arithmetic algebraic geometry (Diophantine geometry) [See also <a href="msc2020.html?t=11Dxx&btn=Current">11Dxx</a>, <a href="msc2020.html?t=14Gxx&btn=Current">14Gxx</a>, <a href="msc2020.html?t=14Kxx&btn=Current">14Kxx</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G05  </td> <td>Elliptic curves over global fields [See also <a href="msc2020.html?t=14H52&btn=Current">14H52</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G07  </td> <td>Elliptic curves over local fields [See also <a href="msc2020.html?t=14G20&btn=Current">14G20</a>, <a href="msc2020.html?t=14H52&btn=Current">14H52</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G09  </td> <td>Drinfel'd modules; higher-dimensional motives, etc. [See also <a href="msc2020.html?t=14L05&btn=Current">14L05</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G10  </td> <td>Abelian varieties of dimension <span class="MathTeX">$> 1$</span><script type="math/tex">> 1</script> [See also <a href="msc2020.html?t=14Kxx&btn=Current">14Kxx</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G15  </td> <td>Complex multiplication and moduli of abelian varieties [See also <a href="msc2020.html?t=14K22&btn=Current">14K22</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G16  </td> <td>Elliptic and modular units [See also <a href="msc2020.html?t=11R27&btn=Current">11R27</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G18  </td> <td>Arithmetic aspects of modular and Shimura varieties [See also <a href="msc2020.html?t=14G35&btn=Current">14G35</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G20  </td> <td>Curves over finite and local fields [See also <a href="msc2020.html?t=14H25&btn=Current">14H25</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G25  </td> <td>Varieties over finite and local fields [See also <a href="msc2020.html?t=14G15&btn=Current">14G15</a>, <a href="msc2020.html?t=14G20&btn=Current">14G20</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td><span class="highlight">11G30</span>  </td> <td>Curves of arbitrary genus or genus <span class="MathTeX">$\ne 1$</span><script type="math/tex">\ne 1</script> over global fields [See also <a href="msc2020.html?t=14H25&btn=Current">14H25</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G32  </td> <td>Arithmetic aspects of dessins d'enfants, Bely沫 theory</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G35  </td> <td>Varieties over global fields [See also <a href="msc2020.html?t=14G25&btn=Current">14G25</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G40  </td> <td><span class="MathTeX">$L$</span><script type="math/tex">L</script>-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture [See also <a href="msc2020.html?t=14G10&btn=Current">14G10</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G42  </td> <td>Arithmetic mirror symmetry [See also <a href="msc2020.html?t=14J33&btn=Current">14J33</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G45  </td> <td>Geometric class field theory [See also <a href="msc2020.html?t=11R37&btn=Current">11R37</a>, <a href="msc2020.html?t=14C35&btn=Current">14C35</a>, <a href="msc2020.html?t=19F05&btn=Current">19F05</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G50  </td> <td>Heights [See also <a href="msc2020.html?t=14G40&btn=Current">14G40</a>, <a href="msc2020.html?t=37P30&btn=Current">37P30</a>]</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G55  </td> <td>Polylogarithms and relations with <span class="MathTeX">$K$</span><script type="math/tex">K</script>-theory</td> </tr> <tr class="current"> <td></td> <td></td> <td>11G99  </td> <td>None of the above, but in this section</td> </tr> </table> <div class="buttonBox"> <input type="submit" name="btn" value="Clear" class="button" /> </div> <span class="legend"> < <a href="msc2020.html?t=11Fxx&btn=Current">11Fxx</a> | <a href="msc2020.html?t=11-XX&btn=Current">11-XX</a> | <a href="msc2020.html?t=11Hxx&btn=Current">11Hxx</a> > </span> </div> </form> </div> <div class="folderFooter"><div class="left"> </div><div class="right"> </div></div> </div> </div> </div> <div class="copyright"> <a href="http://www.ams.org/ams/copyright.html">© Copyright 2024, American Mathematical Society</a><br /> <a href="http://www.ams.org/ams/privacy.html">Privacy Statement</a> </div> <div class="amsAddress"> <a href="http://www.ams.org"><img src="/mathscinet/2006/mathscinet/images/ams-logo-msn-footer.jpg" alt="American Mathematical Society" /></a> </div> </div> <script type="text/javascript">  </script> <script type="text/javascript">  </script> </div> </body> </html>

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MSC2020 database