38 citations · 243 across the 36 of their papers we have counts for
22 papers · 1 filter
Enumeration of Elliptic Curves via Elliptic Gromov-Witten Invariants of Four Dimensional Projective Fano Hypersurfaces
Masao Jinzenji, Ken Kuwata
In this paper, we propose a conjecture that clarifies the relationship between the number of degree d elliptic curves in complex four-dimensional projective Fano hypersurfaces and…
Geometrical Proof of Generalized Mirror Transformation for Multi-Point Virtual Strucutre Constants of Projective Hypersurfaces
Masao Jinzenji
In this paper, we propose a geometric proof of the generalized mirror transformation for multi-point virtual structure constants of degree k hypersurfaces in CP^{N-1}.
Elliptic Virtual Structure Constants and Gromov-Witten Invariants for Complete Intersections in Weighted Projective Space
Masao Jinzenji, Ken Kuwata
In this paper, we generalize our formalism of the elliptic virtual structure constants to hypersurfaces and complete intersections within certain weighted projective spaces possess…
Elliptic Virtual Structure Constants and Generalizations of BCOV-Zinger Formula to Projective Fano Hypersurfaces
Masao Jinzenji, Ken Kuwata
In this paper, we propose a method for computing genus 1 Gromov-Witten invariants of Calabi-Yau and Fano projective hypersurfaces using the B-model. Our formalism is applicable to…
Hori's Equation for Gravitational Virtual Structure Constants of Calabi-Yau Hypersurface in CP^{N-1}
Masao Jinzenji, Kohki Matsuzaka
In this paper, we give a proof of Hori's equation for intersection numbers of the moduli space of quasimaps from CP^{1} with (2+1) marked points to CP^{N-1} by using localization t…
Generalized Hypergeometric Functions for Degree k Hypersurface in CP^{N-1} and Intersection Numbers of Moduli Space of Quasimaps from CP^{1} with Two Marked Points to CP^{N-1}
Masao Jinzenji, Kohki Matsuzaka
In this paper, we derive the generalized hypergeometric functions used in mirror computation of degree k hypersurface in CP^{N-1} as generating functions of intersection numbers of…
Period Integrals (Givental's I-function) of Calabi-Yau Hypersurface in and Intersection Numbers of Moduli Space of Quasimaps from with Two Marked Points to
Masao Jinzenji, Kohki Matsuzaka
In this paper, we derive the generalized hypergeometric functions (period integrals) used in mirror computation of Calabi-Yau hypersurface in as generating functions of…
Geometrical Proof of Generalized Mirror Transformation of Projective Hypersurfaces
Masao Jinzenji
In this paper, we propose a geometrical proof of the generalized mirror transformation of genus 0 Gromov-Witten invariants of degree k hypersurface in CP^{N-1}.
Moduli Space of Quasi-Maps from P^{1} with Two Marked Points to P(1,1,1,3) and j-invariant
Masao Jinzenji, Hayato Saito
In this paper, we construct toric data of moduli space of quasi maps of degree from P^{1} with two marked points to weighted projective space P(1.1,1,3). With this result, we p…
Multi-Point Virtual Structure Constants and Mirror Computation of CP^2-model
Masao Jinzenji, Masahide Shimizu
In this paper, we propose a geometrical approach to mirror computation of genus 0 Gromov-Witten invariants of CP^2. We use multi-point virtual structure constants, which are define…
Classical Computation of Number of Lines in Projective Hypersurfaces: Origin of Mirror Transformation
Masao Jinzenji
In this paper, we discuss classical derivation of the residue integral representation of the d=1 rational Gromov-Witten invariants of projective hypersurfaces that followed from lo…
Open Virtual Structure Constants and Mirror Computation of Open Gromov-Witten Invariants of Projective Hypersurfaces
Masao Jinzenji, Masahide Shimizu
In this paper, we generalize Walcher's computation of the open Gromov-Witten invariants of the quintic hypersurface to Fano and Calabi-Yau projective hypersurfaces. Our main tool i…
Mirror Map as Generating Function of Intersection Numbers: Toric Manifolds with Two Kähler Forms
Masao Jinzenji
In this paper, we extend our geometrical derivation of expansion coefficients of mirror maps by localization computation to the case of toric manifolds with two Kähler forms. Espec…
Direct Proof of Mirror Theorem of Projective Hypersurfaces up to degree 3 Rational Curves
Masao Jinzenji
In this paper, we directly derive generalized mirror transformation of projective hypersurfaces up to degree 3 genus 0 Gromov-Witten invariants by comparing Kontsevich localization…
Virtual Structure Constants as Intersection Numbers of Moduli Space of Polynomial Maps with Two Marked Points
Masao Jinzenji
In this paper, we derive the virtual structure constants used in mirror computation of degree k hypersurface in CP^{N-1}, by using localization computation applied to moduli space…
On equivariant mirror symmetry for local P^2
Brian Forbes, Masao Jinzenji
We solve the problem of equivariant mirror symmetry for O(-3)->P^2 for the (three) cases of one independent equivariant parameter. This gives a decomposition of mirror symmetry for…
Local mirror symmetry of curves: Yukawa couplings and genus 1
Brian Forbes, Masao Jinzenji
We continue our study of equivariant local mirror symmetry of curves, i.e. mirror symmetry for X_k=O(k)+O(-2-k) over P^1 with torus action (lambda_1,lambda_2) on the bundle. For th…
J functions, non-nef toric varieties and equivariant local mirror symmetry of curves
Brian Forbes, Masao Jinzenji
We develop techniques for computing the equivariant local mirror symmetry of curves, i.e. mirror symmetry for O(k)+O(-2-k) over P^1 for k greater than 0. We also describe related m…
Conics on a Generic Hypersurface
Masao Jinzenji, Iku Nakamura, Yasuki Suzuki
In this paper, we compute the contributions from double cover maps to genus 0 degree 2 Gromov-Witten invariants of general type projective hypersurfaces. Our results correspond to…
Coordinate Change of Gauss-Manin System and Generalized Mirror Transformation
Masao Jinzenji
In this paper, we explicitly derive the generalized mirror transformation of quantum cohomology of general type projective hypersurfaces, proposed in our previous article, as an ef…
Gauss-Manin System and the Virtual Structure Constants
Masao Jinzenji
In this paper, we discuss some applications of Givental's differential equations to enumerative problems on rational curves in projective hypersurfaces. Using this method, we prove…
Virtual Gromov-Witten Invariants and the Quantum Cohomology Rings of General Type Projective Hypersurfaces
Masao Jinzenji
In this paper, we propose another characterization of the generalized mirror transformation on the quantum cohomology rings of general type projective hypersurfaces. This character…