Rational components of Hilbert schemes
Paolo Lella, Margherita Roggero (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “A bound for the degree of smooth surfaces in not of general type”
Rational components of Hilbert schemes
An improved bound for the degree of smooth surfaces in not of general type
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Stanley depth of monomial ideals with small number of generators
Mircea Cimpoeaş (2009)
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For a monomial ideal I ⊂ S = K[x 1...,x n], we show that sdepth(S/I) ≥ n − g(I), where g(I) is the number of the minimal monomial generators of I. If I =νI′, where ν ∈ S is a monomial, then we see that sdepth(S/I) = sdepth(S/I′). We prove that if I is a monomial ideal I ⊂ S minimally generated by three monomials, then I and S/I satisfy the Stanley conjecture. Given a saturated monomial ideal I ⊂ K[x 1,x 2,x 3] we show that sdepth(I) = 2. As a consequence, sdepth(I) ≥ sdepth(K[x 1,x 2,x...
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Acta Mathematica Universitatis Comenianae. New Series
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