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Related publications (4)
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This course is an introduction to the theory of algebraic curves and surfaces.An important aim of the course is to develop geometric intuition while using the language of schemes developed in the ba
Let C be a smooth projective curve, E a locally free sheaf. Hyperquot schemes on C parametrise flags of coherent quotients of E with fixed Hilbert polynomial, and offer alternative compactifications to the spaces of maps from C to partial flag varieties. M ...
We construct a virtual fundamental class and virtual structure sheaf à la Oh-Thomas, by which we define K-theoretic invariants. We show that the partition function of such invariants reproduces the one studied by Pomoni-Yan-Zhang, and explicitly determine ...
Let C be a smooth curve. In this paper we investigate the geometric properties of the double nested Hilbert scheme of points on C, a moduli space introduced by the third author in the context of BPS invariants of local curves and sheaf counting on Calabi-Y ...