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<head><title>ProjectiveVariety -- the class of all projective varieties</title>
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<div><h1>ProjectiveVariety -- the class of all projective varieties</h1>
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<div class="waystouse"><h2>Functions and methods returning a projective variety :</h2>
<ul><li><span><a href="___Proj_lp__Ring_rp.html" title="make a projective variety">Proj(Ring)</a> -- make a projective variety</span></li>
</ul>
<h2>Methods that use a projective variety :</h2>
<ul><li><span><a href="_ambient_lp__Projective__Variety_rp.html" title="">ambient(ProjectiveVariety)</a></span></li>
<li><span>char(ProjectiveVariety), see <span><a href="_char.html" title="computes the characteristic of the ring or field">char</a> -- computes the characteristic of the ring or field</span></span></li>
<li><span><a href="_codim_lp__Projective__Variety_rp.html" title="codimension of the projective variety">codim(ProjectiveVariety)</a> -- codimension of the projective variety</span></li>
<li><span><a href="_cotangent__Sheaf_lp__Projective__Variety_rp.html" title="cotangent sheaf of a projective variety">cotangentSheaf(ProjectiveVariety)</a> -- cotangent sheaf of a projective variety</span></li>
<li><span><a href="_cotangent__Sheaf_lp__Z__Z_cm__Projective__Variety_rp.html" title="exterior powers of the cotangent sheaf of a projective variety">cotangentSheaf(ZZ,ProjectiveVariety)</a> -- exterior powers of the cotangent sheaf of a projective variety</span></li>
<li><span><a href="_degree_lp__Projective__Variety_rp.html" title="">degree(ProjectiveVariety)</a></span></li>
<li><span><a href="_dim_lp__Projective__Variety_rp.html" title="dimension of the projective variety">dim(ProjectiveVariety)</a> -- dimension of the projective variety</span></li>
<li><span><a href="_euler_lp__Projective__Variety_rp.html" title="topological Euler characteristic of a (smooth) projective variety">euler(ProjectiveVariety)</a> -- topological Euler characteristic of a (smooth) projective variety</span></li>
<li><span><a href="_genera_lp__Projective__Variety_rp.html" title="list of the successive linear sectional arithmetic genera">genera(ProjectiveVariety)</a> -- list of the successive linear sectional arithmetic genera</span></li>
<li><span><a href="_genus_lp__Projective__Variety_rp.html" title="arithmetic genus">genus(ProjectiveVariety)</a> -- arithmetic genus</span></li>
<li><span>hh(Sequence,ProjectiveVariety), see <span><a href="_hh.html" title="Hodge numbers of a smooth projective variety">hh</a> -- Hodge numbers of a smooth projective variety</span></span></li>
<li><span>hilbertFunction(List,ProjectiveVariety), see <span><a href="_hilbert__Function.html" title="the Hilbert function">hilbertFunction</a> -- the Hilbert function</span></span></li>
<li><span>hilbertFunction(ZZ,ProjectiveVariety), see <span><a href="_hilbert__Function.html" title="the Hilbert function">hilbertFunction</a> -- the Hilbert function</span></span></li>
<li><span><a href="_hilbert__Polynomial_lp__Projective__Variety_rp.html" title="compute the Hilbert polynomial of the projective variety">hilbertPolynomial(ProjectiveVariety)</a> -- compute the Hilbert polynomial of the projective variety</span></li>
<li><span><a href="_hilbert__Series_lp__Projective__Variety_rp.html" title="compute the Hilbert series of a projective variety">hilbertSeries(ProjectiveVariety)</a> -- compute the Hilbert series of a projective variety</span></li>
<li><span>singularLocus(ProjectiveVariety), see <span><a href="_singular__Locus.html" title="singular locus">singularLocus</a> -- singular locus</span></span></li>
<li><span><a href="_tangent__Sheaf_lp__Projective__Variety_rp.html" title="tangent sheaf of a projective variety">tangentSheaf(ProjectiveVariety)</a> -- tangent sheaf of a projective variety</span></li>
</ul>
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<div class="waystouse"><h2>For the programmer</h2>
<p>The object <a href="___Projective__Variety.html" title="the class of all projective varieties">ProjectiveVariety</a> is <span>a <a href="___Type.html">type</a></span>, with ancestor classes <a href="___Variety.html" title="the class of all algebraic varieties">Variety</a> < <a href="___Mutable__Hash__Table.html" title="the class of all mutable hash tables">MutableHashTable</a> < <a href="___Hash__Table.html" title="the class of all hash tables">HashTable</a> < <a href="___Thing.html" title="the class of all things">Thing</a>.</p>
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