Complete subvarieties of moduli spaces and the Prym map
نویسندگان
چکیده
منابع مشابه
Complete Subvarieties of Moduli Spaces and the Prym Map
In this paper we present a formula for the number of isomorphism classes of p-rank zero étale double covers of genus 2 curves over an algebraically closed field of characteristic p > 2. The formula is a byproduct of our search for complete subvarieties of moduli spaces of curves. Many moduli spaces are not complete because the objects that they parametrize can degenerate. Examples are the modul...
متن کامل2 3 M ay 2 00 3 Complete Subvarieties of Moduli Spaces and the Prym Map
In this paper we present a formula for the number of isomorphism classes of p-rank zero étale double covers of genus 2 curves over an algebraically closed field of characteristic p > 2. The formula is a byproduct of our search for complete subvarieties of moduli spaces of curves. Many moduli spaces are not complete because the objects that they parametrize can degenerate. Examples are the modul...
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The aim of this paper is to prove the existence of large complete subvarieties in moduli spaces of rank two stable sheaves with arbitrary c1 and sufficiently large c2, on algebraic surfaces. Then we study the restriction of these sheaves to curves of high degree embedded in the surface. In the final section we gives a relation with the spin strata defined by Pidstrigach and Tyurin.
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The space of subvarieties of P with a fixed Hilbert polynomial is not complete. Grothendieck defined a completion by relaxing “variety” to “scheme”, giving the complete Hilbert scheme of subschemes of P with fixed Hilbert polynomial. We instead relax “sub” to “branch”, where a branchvariety of P is defined to be a reduced (though possibly reducible) scheme with a finite morphism to P. Our main ...
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This survey discusses the geometry of the moduli space of Prym varieties. Several applications of Pryms in algebraic geometry are presented. The paper begins with with a historical discussion of the life and achievements of Friedrich Prym. Topics treated in subsequent sections include singularities and Kodaira dimension of the moduli space, syzygies of Prym-canonical embedding and the geometry ...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2004
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2004.056