Biswas, Indranil ; Butler, David C. (2005) On Prill's problem Communications in Algebra, 33 (1). pp. 323-330. ISSN 0092-7872
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Related URL: http://dx.doi.org/10.1081/AGB-200041017
Abstract
Let Π:C → B be a (possibly ramified) covering map between smooth curves over an algebraically closed field with the genus of B being at least two. A question due to David Prill asks whether h0(X, OC(Π-1(b))) = 1 for the general closed point b ∈ B. We investigate this question. If C is hyperelliptic, then h0(X, OC(Π-1(b))) = 1 for the general closed point b ∈ B.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Taylor and Francis Ltd. |
| Keywords: | Covering; Hyperelliptic Curve; Rigid Divisor |
| ID Code: | 3532 |
| Deposited On: | 12 Oct 2010 04:19 |
| Last Modified: | 12 Oct 2010 04:19 |
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