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Relative Frequency and Distinctive Features of Anti-Ma2 Nonparaneoplastic Neurologic Disorders: A French Cohort Study. [PDF]
Vaisvilas M +10 more
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RAGER: A user-friendly computational platform for integrated analysis of RNA-Seq and ATAC-seq data. [PDF]
Liu Y, Liu Y, Zhang Z, Li F, Yu H, Lu L.
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The Lipidome of the Lateral Ventricle Choroid Plexus Exhibits Sex-Specific Changes Across Aging. [PDF]
Loupiac G +11 more
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Immune-based personalized elimination diet for the treatment of irritable bowel syndrome: a double-blind randomized sham-controlled study. [PDF]
Ukashi O +18 more
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Splitting unramified Brauer classes by abelian torsors and the period-index problem. [PDF]
Huybrechts D, Mattei D.
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The relative hermitian picard group
Communications in Algebra, 1995In this note, we introduce the relative hermitian Picard group of a torsion triple. Unlike the situation in the absolute case, the modules on which this group is based are no longer finitely generated nor projective. In order to compensate for this, we need a careful study of relative flatness, as well as the introduction of new techniques originally ...
Reyes Sanchez, M.V. +2 more
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Note on seminormality and Picard groups
Kobe Journal of Mathematics, 1986The main result is that if \(R\) is an affine domain over an algebraically closed field, and has integral closure \(R'\) with \(\mathrm{Ker}(\mathrm{Pic}(R)\to \mathrm{Pic}(R'))\) of finite rank as a module over the integers, then \(R\) is seminormal (i.e., if \(a\in R'\) with \(a^2\) and \(a^3\) in \(R\), then \(a\in R)\) and \(R\) is u-closed (i.e ...
Sugatani, Takasi, Yoshida, Ken-ichi
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Selmer groups and Picard groups
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 1997Let \(k\) be a finite field of characteristic \(p>0\) and \(K\) be an algebraic function field of one variable over \(k\). Consider an elliptic curve \(E\) over \(K\) with \(j\)-invariant transcendental over \(\mathbb{F}_p\). In this paper the author proves that there exists a finite set of primes \(S\), with \(p\in S\), such that for every positive ...
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Picard Groups of Rings of Coinvariants
Algebras and Representation Theory, 2007The author extends results of \textit{A. R. Magid} [J. Pure Appl. Algebra 17, 305-311 (1980; Zbl 0437.14002)] on the Picard group of rings of invariants. He considers Doi-Hopf data \((H,A,C)\) satisfying certain conditions that entail that \(A\otimes C\), which is always an \(A\)-coring, is also a commutative associative algebra. \(G(A\otimes C)\), the
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