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In the study of the geometry of curves on surfaces, the following
question often arises: given a one-parameter family of divisors over a pointed
curve, what does the central ber look like after sta...
A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space
anne curve anne arc length anne surface anne first fundamental form
2012/5/9
In Euclidean geometry, all metric notions (arc length for curves, the first fundamental form for surfaces, etc.) are derived from the Euclidean inner product on tangent vectors, and this inner product...
On the canonical ring of curves and surfaces
algebraic curve, surface of general type, canonical ring, pluricanonical embedding
2011/8/24
Abstract: Let C be a curve (possibly non reduced or reducible) lying on a smooth algebraic surface. We show that the canonical ring R(C, \omega_C) is generated in degree 1 if C is numerically 4-connec...
In this paper, we extend the study of local scales of a function [JL09] to studying local scales on curves and surfaces. In the case of a function f, the local scales of f at x is computed by measurin...
专著信息
书名
Elliptic Gromov-Witten invariants of blowups along curves and surfaces
语种
英文
撰写或编译
作者
胡建勋,张后扬
第一作者单位
出版社
Internat. J. Math. Math. Sci. 接收发表
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相关项目
Gromov-Witten...