Moduli Of Symplectic Log Calabi Yau Divisors And Torus Fibrations

Calabi-Yau Variety In Nlab | PDF | Theoretical Physics | Geometry

Calabi-Yau Variety In Nlab | PDF | Theoretical Physics | Geometry In this thesis we introduce generalized symplectic log calabi yau divisors and study their relations with hamiltonian circle actions on symplectic irrational ruled surfaces. The purpose of this paper is to establish a precise correspondence between two important geometric structures on closed symplectic 4 manifolds: almost toric fibrations and symplectic log calabi yau divisors.

The KSBA Moduli Space Of Stable Log Calabi-Yau Surfaces | Department Of Mathematics

The KSBA Moduli Space Of Stable Log Calabi-Yau Surfaces | Department Of Mathematics Gross–hacking–keel: any log calabi–yau surface admits a toric model, i.e. it can be obtained by a blow up of a toric surface along smooth points of the toric boundary (up to (corner) blow ups with centers on 0 dimensional strata of d). We study the symplectic analogue of log calabi–yau surfaces and show that the symplectic deformation classes of these surfaces are completely determined by the homological information. This article studies the symplectic cohomology of a ne algebraic surfaces that admit a compacti cation by a normal crossings anticanonical divisor. In higher dimensions, the picture becomes more complicated. due to the cumulative effort of many mathematicians, including works of hacon–mckernan–xu and kollár, canonical models admit a qualitative description and well behaved moduli theory in arbitrary dimensions.

Moduli Of Boundary Polarized Calabi-Yau Pairs | Department Of Mathematics

Moduli Of Boundary Polarized Calabi-Yau Pairs | Department Of Mathematics This article studies the symplectic cohomology of a ne algebraic surfaces that admit a compacti cation by a normal crossings anticanonical divisor. In higher dimensions, the picture becomes more complicated. due to the cumulative effort of many mathematicians, including works of hacon–mckernan–xu and kollár, canonical models admit a qualitative description and well behaved moduli theory in arbitrary dimensions. Instead of considering the pair of a symplectic manifold and a divisor, in this paper we are interested in the space of isotopy classes of symplectic log calabi yau divisors in a xed symplectic rational surface. This mirror family is constructed as the spectrum of an explicit algebra structure on a vector space with canonical basis and multiplication rule defined in terms of counts of rational curves on y meeting d in a single point. the elements of the canonical basis are called theta functions. Symplectic log calabi yau divisors are the symplectic analogue of anti canonical divisors in algebraic geometry. we study the rigidity of such divisors. in particular we prove a torelli type theorem and form an equivalent moduli space of homology configurations which is more suitable for counting. We raise the problem of realizing all symplectic log calabi yau divisors by some almost toric fibrations and verify it together with another conjecture of symington in a special region.

(PDF) Geometry Of Symplectic Log Calabi-Yau Pairs

(PDF) Geometry Of Symplectic Log Calabi-Yau Pairs Instead of considering the pair of a symplectic manifold and a divisor, in this paper we are interested in the space of isotopy classes of symplectic log calabi yau divisors in a xed symplectic rational surface. This mirror family is constructed as the spectrum of an explicit algebra structure on a vector space with canonical basis and multiplication rule defined in terms of counts of rational curves on y meeting d in a single point. the elements of the canonical basis are called theta functions. Symplectic log calabi yau divisors are the symplectic analogue of anti canonical divisors in algebraic geometry. we study the rigidity of such divisors. in particular we prove a torelli type theorem and form an equivalent moduli space of homology configurations which is more suitable for counting. We raise the problem of realizing all symplectic log calabi yau divisors by some almost toric fibrations and verify it together with another conjecture of symington in a special region.

Free Video: Moduli Of Boundary Polarized Log Calabi Yau Pairs From Fields Institute | Class Central

Free Video: Moduli Of Boundary Polarized Log Calabi Yau Pairs From Fields Institute | Class Central Symplectic log calabi yau divisors are the symplectic analogue of anti canonical divisors in algebraic geometry. we study the rigidity of such divisors. in particular we prove a torelli type theorem and form an equivalent moduli space of homology configurations which is more suitable for counting. We raise the problem of realizing all symplectic log calabi yau divisors by some almost toric fibrations and verify it together with another conjecture of symington in a special region.

Moduli of symplectic log Calabi-Yau divisors and torus fibrations