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- Istituto Nazionale di Fisica Nucleare, Sezione di GenovaIT126 papers
- Centre National de la Recherche ScientifiqueFR103 papers
- Rutherford Appleton LaboratoryGB97 papers
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Koszul homology and extremal properties of Gin and Lex
Aldo Conca
In a polynomial ring with variables, for every homogeneous ideal and for every we consider the Koszul homology with respect to a sequence of …
Wavelets in mathematical physics: q-oscillators
Palle E. T. Jorgensen, Anna Paolucci
We construct representations of a q-oscillator algebra by operators on Fock space on positive matrices. They emerge from a multiresolution scaling construction used in wavelet anal…
Castelnuovo-Mumford regularity and extended degree
Maria Evelina Rossi, Ngo Viet Trung, Giuseppe Valla
The main result of this paper shows that the Castelnuovo-Mumford regularity of the tangent cone of a local ring is effectively bounded by the dimension and any extended degree. Fro…
Correlations and entanglement in probability theory
E. G. Beltrametti, S. Bugajski
We generalize the classical probability frame by adopting a wider family of random variables that includes nondeterministic ones. The frame that emerges is known to host a ''classi…
Castelnuovo-Mumford regularity of products of ideals
Aldo Conca, Juergen Herzog
We discuss the behavior of the Castelnuovo-Mumford regularity under certain operations on ideals and modules, like products or powers. In particular, we show that reg(IM) can be la…
Reduction numbers and initial ideals
Aldo Conca
The reduction number r(A) of a standard graded algebra A is the least integer k such that there exists a minimal reduction J of the homogeneous maximal ideal m of A such that Jm^k=…