Smooth degeneration of complete intersection curves in positive characteristic

1991 ◽  
Vol 104 (1) ◽  
pp. 313-319 ◽  
Author(s):  
N. Mohan Kumar
Keyword(s):  
Complete Intersection ◽  
Positive Characteristic ◽  
Intersection Curves

scholarly journals K-MODULI OF CURVES ON A QUADRIC SURFACE AND K3 SURFACES

2021 ◽  
pp. 1-41
Author(s):  
KENNETH ASCHER ◽  
KRISTIN DEVLEMING ◽  
YUCHEN LIU
Keyword(s):  
Complete Intersection ◽  
Moduli Space ◽  
Moduli Spaces ◽  
K3 Surfaces ◽  
Moduli Of Curves ◽  
Quadric Surface ◽  
Intersection Curves

Abstract We show that the K-moduli spaces of log Fano pairs $\left(\mathbb {P}^1\times \mathbb {P}^1, cC\right)$ , where C is a $(4,4)$ curve and their wall crossings coincide with the VGIT quotients of $(2,4)$ , complete intersection curves in $\mathbb {P}^3$ . This, together with recent results by Laza and O’Grady, implies that these K-moduli spaces form a natural interpolation between the GIT moduli space of $(4,4)$ curves on $\mathbb {P}^1\times \mathbb {P}^1$ and the Baily–Borel compactification of moduli of quartic hyperelliptic K3 surfaces.

Polynomial parametrization of nonsingular complete intersection curves

2007 ◽  
Vol 18 (5) ◽  
pp. 483-493
Author(s):  
Toufiq Benbouziane ◽  
Hassan El Houari ◽  
M’hammed El Kahoui
Keyword(s):  
Complete Intersection ◽  
Intersection Curves

scholarly journals COMPLETE INTERSECTIONS IN BINOMIAL AND LATTICE IDEALS

2013 ◽  
Vol 23 (06) ◽  
pp. 1419-1429 ◽  
Author(s):  
HIRAM H. LÓPEZ ◽  
RAFAEL H. VILLARREAL
Keyword(s):  
Complete Intersection ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Complete Intersections ◽  
Lattice Ideals ◽  
The Family ◽  
Lattice Ideal ◽  
Arbitrary Lattice ◽  
Intersection Criterion ◽  
Graded Lattice

For the family of graded lattice ideals of dimension 1, we establish a complete intersection criterion in algebraic and geometric terms. In positive characteristic, it is shown that all ideals of this family are binomial set-theoretic complete intersections. In characteristic zero, we show that an arbitrary lattice ideal which is a binomial set-theoretic complete intersection is a complete intersection.

scholarly journals Arithmetic moduli and lifting of Enriques surfaces

2015 ◽  
Vol 2015 (706) ◽  
Author(s):  
Christian Liedtke
Keyword(s):  
Complete Intersection ◽  
Moduli Space ◽  
Characteristic Zero ◽  
Positive Characteristic ◽  
Double Cover ◽  
Global Structure ◽  
Enriques Surface ◽  
Enriques Surfaces

AbstractWe construct the moduli space of Enriques surfaces in positive characteristic and eventually over the integers, and determine its local and global structure. As an application, we show lifting of Enriques surfaces to characteristic zero. The key observation is that the canonical double cover of an Enriques surface is birational to the complete intersection of three quadrics in ℙ

scholarly journals Some Homological Criteria for Regular, Complete Intersection and Gorenstein Rings

2015 ◽  
Vol 59 (2) ◽  
pp. 473-481 ◽  
Author(s):  
Javier Majadas
Keyword(s):  
Local Ring ◽  
Complete Intersection ◽  
Positive Characteristic ◽  
Residue Field ◽  
Canonical Homomorphism ◽  
Gorenstein Rings ◽  
Frobenius Endomorphism

AbstractRegularity, complete intersection and Gorenstein properties of a local ring can be characterized by homological conditions on the canonical homomorphism into its residue field. In positive characteristic, the Frobenius endomorphism (and, more generally, any contracting endomorphism) can also be used for these characterizations. We introduce here a class of local homomorphisms, in some sense larger than all above, for which these characterizations still hold, providing an unified treatment for this class of homomorphisms.

scholarly journals The gonality of complete intersection curves

2020 ◽  
Vol 560 ◽  
pp. 579-608 ◽  
Author(s):  
James Hotchkiss ◽  
Chung Ching Lau ◽  
Brooke Ullery
Keyword(s):  
Complete Intersection ◽  
Intersection Curves

Wronski Systems for Families of Local Complete Intersection Curves

2003 ◽  
Vol 31 (8) ◽  
pp. 4007-4035 ◽  
Author(s):  
Dan Laksov ◽  
Anders Thorup
Keyword(s):  
Complete Intersection ◽  
Intersection Curves
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