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arXiv · 0910.5455

Boundedness for surfaces in weighted P^4

L. V. Rammea·G. K. Sankaran
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Abstract

Ellingsrud and Peskine (1989) proved that there exists a bound on the degree of smooth non general type surfaces in P^4. The latest proven bound is 52 by Decker and Schreyer in 2000. In this paper we consider bounds on the degree of a quasismooth non-general type surface in weighted projective 4-space. We show that such a bound in terms of the weights exists, and compute an explicit bound in simple cases.

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L. V. Rammea, G. K. Sankaran. 2009-10-28. Boundedness for surfaces in weighted P^4. https://arxiv.org/abs/0910.5455

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