Ali Bajravani
Published 2015-05-03Version 1
Tangent Spaces of V^r_d(L), Specific subschemes of C_d arising from various line bundles on C, are described. Then we proceed to prove Martense Theorem for these schemes, by which we determine curves C, which for some very ample line bundle L on C and some integers r and d with d\leq h^{0}(L)-2, the subscheme V^r_d(L) might attain its maximum dimension.
Adjunction for varieties with $\mathbb{C}^*$ action
Ample line bundles, global generation and $K_0$ on quasi-projective derived schemes
Okounkov bodies for ample line bundles with applications to multiplicities for group representations
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