Rational components of Hilbert schemes
Paolo Lella, Margherita Roggero (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Paolo Lella, Margherita Roggero (2011)
Rendiconti del Seminario Matematico della Università di Padova
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Enrico Sbarra (2004)
Rendiconti del Seminario Matematico della Università di Padova
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R. Hübl, C. Huneke (2001)
Collectanea Mathematica
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Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Liam O'Carroll (1996)
Compositio Mathematica
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Mircea Cimpoeaş (2009)
Open Mathematics
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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...
Azzouz Cherrabi, Abderrahim Miri (1999)
Extracta Mathematicae
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Craig Huneke, Bernd Ulrich, Wolmer V. Vasconcelos (1992)
Compositio Mathematica
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