منابع مشابه
The compactified Picard scheme of the compactified Jacobian
Let C be an integral projective curve in any characteristic. Given an invertible sheaf L on C of degree 1, form the corresponding Abel map AL:C → J̄ , which maps C into its compactified Jacobian, and form its pullback map A L : Pic J̄ → J , which carries the connected component of 0 in the Picard scheme back to the Jacobian. If C has, at worst, double points, then A L is known to be an isomorphis...
متن کاملCompactifying Moduli of Hyperelliptic Curves
We construct a new compactification of the moduli space Hg of smooth hyperelliptic curves of genus g. We compare our compactification with other well-known remarkable compactifications of Hg.
متن کاملOn the Picard Bundle
Fix a holomorphic line bundle ξ over a compact connected Riemann surface X of genus g, with g ≥ 2, and also fix an integer r such that degree(ξ) > r(2g−1). Let Mξ(r) denote the moduli space of stable vector bundles overX of rank r and determinant ξ. The Fourier–Mukai transform, with respect to a Poincaré line bundle on X × J(X), of any F ∈Mξ(r) is a stable vector bundle on J(X). This gives an e...
متن کاملThe Picard group
Why should a number theorist be interested in algebraic geometry? In this course we hope to demonstrate one very good reason, by showing essentially geometric reasons why certain Diophantine equations fail to have solutions. But we will begin by placing the study of Diophantine equations into the context of algebraic geometry, to see how techniques from many different realms of mathematics can ...
متن کاملPICARD: The Next Generator
This paper 1 introduces a new line of research which ensures soundness and completeness in Natural Language text planners on top of an efficient control strategy. The work builds on the HUNTER-GATItERER analysis system (Beale. 96; Beale & Nirenburg, 96). That system employs constraint satisfaction, branch-and-bound and solution synthesis techniques to produce near linear-time processing for kno...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Mathematics
سال: 1980
ISSN: 0001-8708
DOI: 10.1016/0001-8708(80)90043-2