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Your search keyword '"Saito, M. H."' showing total 7 results
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7 results on '"Saito, M. H."'

1. On the moduli of degree 4 Del Pezzo surfaces

Author

Fujino, O, Kondô, S, Moriwaki, A, Saito, M H, Fujino, O ( O ), Kondô, S ( S ), Moriwaki, A ( A ), Saito, M H ( M H ), Hassett, Brendan, Kresch, Andrew, Tschinkel, Yuri, Fujino, O, Kondô, S, Moriwaki, A, Saito, M H, Fujino, O ( O ), Kondô, S ( S ), Moriwaki, A ( A ), Saito, M H ( M H ), Hassett, Brendan, Kresch, Andrew, and Tschinkel, Yuri

Abstract

We study irreducibility of families of degree 4 Del Pezzo surface fibrations over curves.

Published
2016

2. Holomorphic Anomaly Equation and BPS State Counting of Rational Elliptic Surface

Author

Hosono, S., Saito, M. -H., Takahashi, A., Hosono, S., Saito, M. -H., and Takahashi, A.

Abstract

We consider the generating function (prepotential) for Gromov-Witten invariants of rational elliptic surface. We apply the local mirror principle to calculate the prepotential and prove a certain recursion relation, holomorphic anomaly equation, for genus 0 and 1. We propose the holomorphic anomaly equation for all genera and apply it to determine higher genus Gromov-Witten invariants and also the BPS states on the surface. Generalizing G\"ottsche's formula for the Hilbert scheme of $g$ points on a surface, we find precise agreement of our results with the proposal recently made by Gopakumar and Vafa(hep-th/9812127)., Comment: 27 pages, uses harvmac.tex; published form with note added in proof

Published
1999

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