Theorem of Enrique-Petri Type for a Very Ample Invertible Sheaf on a Curve of Genus Three.

Masaaki Homma

Displaying similar documents to “Theorem of Enrique-Petri Type for a Very Ample Invertible Sheaf on a Curve of Genus Three.”

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George R. Kempf (1985)

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Some examples of Gorenstein liaison in codimension three.

Robin Hartshorne (2002)

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Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...

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Ohbuchi, Akira (1997)

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Let C = (C, g^1/4 ) be a tetragonal curve. We consider the scrollar invariants e1 , e2 , e3 of g^1/4 . We prove that if W^1/4 (C) is a non-singular variety, then every g^1/4 ∈ W^1/4 (C) has the same scrollar invariants.

Unramified nonspecial real space curves having many real branches and few ovals.

Johannes Huisman (2002)

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Let C ⊆ P be an unramified nonspecial real space curve having many real branches and few ovals. We show that C is a rational normal curve if n is even, and that C is an M-curve having no ovals if n is odd.

Hurwitz spaces of genus 2 covers of an elliptic curve.

Ernst Kani (2003)

Collectanea Mathematica

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Let E be an elliptic curve over a field K of characteristic not equal to 2 and let N > 1 be an integer prime to char(K). The purpose of this paper is to construct the (two-dimensional) Hurwitz moduli space H (E/K,N,2) which classifies genus 2 covers of E of degree N and to show that it is closely related to the modular curve X(N) which parametrizes elliptic curves with level-N-structure. More precisely, we introduce the notion of a normalized genus 2 cover of E/K and show that...