The dimension of the space of stable maps to the relative Lagrangian Grassmannian over a curve

• 영문명: The dimension of the space of stable maps to the relative Lagrangian Grassmannian over a curve
• 발행기관: 충청수학회
• 저자명: 정대웅
• 간행물 정보: 『Journal of the Chungcheong Mathematical Society』Volume 36, No. 1, 1~8쪽, 전체 8쪽
• 주제분류: 자연과학 > 자연과학일반
• 파일형태: PDF
• 발행일자: 2023.02.28

영문 초록

'Let $C$ be a smooth projective curve and $W$ a symplectic bundle over $C$ of degree $w.$ Let $\pi:\LGW \rightarrow C$ be the relative Lagrangian Grassmannian over $C$ and $\SdW$ be the space of Lagrangian subbundles of degree $w-d$. Then Kontsevich's space $\ocM_g(\LGW,\beta_d)$ of stable maps to $\LGW$ is a compactification of $\SdW$. In this article, we give an upper bound on the dimension of $\ocM_g(\LGW,\beta_d)$, which is an analogue of a result in \cite{PR} for the relative Lagrangian Grassmannian.

목차

1. Backgrounds

2. Main theorem and its proof

References

키워드

symplectic bundle Lagrangian Grassmannian stable maps