Results 11 to 20 of about 441 (145)
The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]
, 2010 We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
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Relative Mirror Symmetry and Ramifications of a Formula for Gromov-Witten Invariants [PDF]
, 2013 For a toric Del Pezzo surface S, a new instance of mirror symmetry, said relative, is introduced and developed. On the A-model, this relative mirror symmetry conjecture concerns genus 0 relative Gromov-Witten of maximal tangency of S.
van Garrel, Michel
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Star configuration points and plane curves [PDF]
, 2011 Let ℓ 1 , … , ℓ l \ell _1,\ldots ,\ell _l be l l lines in P 2 \mathbb {P}^2 such ...
Carlini E. +5 more
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Discrete exterior geometry approach to structure-preserving discretization of distributed-parameter port-Hamiltonian systems [PDF]
, 2011 This paper addresses the issue of structure-preserving discretization of open distributed-parameter systems with Hamiltonian dynamics. Employing the formalism of discrete exterior calculus, we introduce a simplicial Dirac structure as a discrete analogue
Seslija, Marko, +11 more
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Periods of tropical Calabi-Yau hypersurfaces
, 2022 © 2021 University Press, Inc.We consider the residual B-model variation of Hodge structure of Iritani defined by a family of toric Calabi–Yau hypersurfaces over a punctured disk D\{0}.
Yuto Yamamoto
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Rational first integrals for polynomial vector fields on algebraic hypersurfaces of R^N 1 [PDF]
, 2012 Using sophisticated techniques of Algebraic Geometry Jouanolou in 1979 showed that if the number of invariant algebraic hypersurfaces of a polynomial vector field in Rn of degree m is at least n+m-1 n+ n, then the vector field has a rational first ...
Llibre, Jaume +1 more
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Hyperbolicity of projective hypersurfaces [PDF]
, 2016 This book presents recent advances on Kobayashi hyperbolicity in complex geometry, especially in connection with projective hypersurfaces. This is a very active field, not least because of the fascinating relations with complex algebraic and arithmetic ...
Diverio, Simone +3 more
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Density property for hypersurfaces U v = p(X) [PDF]
, 2006 We study hypersurfaces of Cn+2 ¯x,u,v given by equations of form uv = p( ¯x) where the zero locus of a polynomial p is smooth reduced. The main result says that the Lie algebra generated by algebraic completely integrable vector fields on such a ...
Kaliman, Shulim, +5 more
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Geometry of q-bic Hypersurfaces
, 2022 Traditional algebraic geometric invariants lose some of their potency in positive characteristic. For instance, smooth projective hypersurfaces may be covered by lines despite being of arbitrarily high degree.
Cheng, Raymond
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On computing local monodromy and the numerical local irreducible decomposition
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract Similarly to the global case, the local structure of a holomorphic subvariety at a given point is described by its local irreducible decomposition. Geometrically, the key requirement for obtaining a local irreducible decomposition is to compute the local monodromy action of a generic linear projection at the given point, which is always well ...
Parker B. Edwards +1 more
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