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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Compositio Mathematica
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G. Valla (1994)
Compositio Mathematica
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International Journal of Mathematics and Mathematical Sciences
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Experimental Mathematics
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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...
Boďa, E., Fernbauer, R. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Compositio Mathematica
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