On curves with a theta-characteristic whose space of sections has dimension 4

1994 ◽  
Vol 215 (1) ◽  
pp. 655-665 ◽  
Author(s):  
Elisabetta Colombo
Keyword(s):  
Theta Characteristic

scholarly journals Thomae-Weber Formula: Algebraic Computations of Theta Constants

2019 ◽  
Author(s):  
Turku Ozlum Celik
Keyword(s):  
Hyperelliptic Curve ◽  
Algebraic Method ◽  
Hyperelliptic Curves ◽  
Fourth Power ◽  
Del Pezzo Surfaces ◽  
Del Pezzo ◽  
Singular Quadric ◽  
Level 2 ◽  
Theta Characteristic

Abstract We give an algebraic method to compute the fourth power of the quotient of any even theta constants associated with a given non-hyperelliptic curve in terms of geometry of the curve. In order to apply the method, we work out non-hyperelliptic curves of genus 4, in particular, such curves lying on a singular quadric, which arise from del Pezzo surfaces of degree 1. Indeed, we obtain a complete level 2 structure of the curves by studying their theta characteristic divisors via exceptional divisors of the del Pezzo surfaces as the structure is required for the method.

scholarly journals THE CURVE OF LINES ON A PRIME FANO THREE-FOLD OF GENUS 8

2010 ◽  
Vol 21 (12) ◽  
pp. 1561-1584
Author(s):  
F. FLAMINI ◽  
E. SERNESI
Keyword(s):  
Natural Embedding ◽  
Theta Characteristic

We show that a general prime Fano three-fold X of genus 8 can be reconstructed from the pair (Γ, L), where Γ is its Fano curve of lines and L = OΓ(1) is the theta-characteristic which gives a natural embedding Γ ⊂ ℙ5.

Rationality of bundles of conics with degenerate curve of degree five and even theta-characteristic

1984 ◽  
Vol 24 (4) ◽  
pp. 449-452 ◽  
Author(s):  
I. A. Panin
Keyword(s):  
Degenerate Curve ◽  
Theta Characteristic

scholarly journals Self cup products and the theta characteristic torsor

2011 ◽  
Vol 18 (6) ◽  
pp. 1305-1318 ◽  
Author(s):  
Bjorn Poonen ◽  
Eric Rains
Keyword(s):  
Cup Products ◽  
Theta Characteristic

scholarly journals The theta characteristic of a branched covering

2008 ◽  
Vol 217 (3) ◽  
pp. 873-888 ◽  
Author(s):  
Alex Eskin ◽  
Andrei Okounkov ◽  
Rahul Pandharipande
Keyword(s):  
Branched Covering ◽  
Theta Characteristic
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