Smoothness and Euler characteristic of the variety of complete pairsX 23 of zero-dimensional subschemes of length 2 and 3 of algebraic surfaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Smoothness and Euler characteristic of the variety of complete pairsX 23 of zero-dimensional subschemes of length 2 and 3 of algebraic surfaces

Authors:	N. V. Timofeeva

Affiliation:	(1) K. D. Ushinskii Yaroslavl State Pedagogical University, USSR

Abstract:	A. S. Tikhomirov’s conjecture about the smoothness of the variety of complete pairsX ₂₃ of zero-dimensional subschemes of an irreducible projective algebraic surface is verified. In the caseS=P², the topological Euler characteristic of this variety is computed. Translated fromMatematicheskie Zametki, Vol. 67, No. 2, pp. 276–287, February, 2000.

Keywords:	irreducible projective algebraic surface variety of complete pairs of zero-dimensional subschemes Euler characteristic Hilbert scheme tangent space monomial ideals
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