Hasse-Witt matrices and Kummer extension

Francis J. Sullivan

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Displaying similar documents to “Hasse-Witt matrices and Kummer extension”

Hasse-Witt matrices and Kummer extension

Francis J. Sullivan (1988)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A simple calculation of the Hasse-Witt matrix is used to give examples of curves which are Kummer coverings of the projective line and which have easily determined p-rank. A family of curve carrying non-classical vector bundles of rank 2 is also given.

Rank 2 vector bundles on P4 with c1 odd and contact curves.

M.S. Narasimhan, F.-O. Schreyer, W. Decker (1990)

Mathematische Zeitschrift

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On the Yang-Baxter-like matrix equation for rank-two matrices

Duanmei Zhou, Guoliang Chen, Jiu Ding (2017)

Open Mathematics

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Let A = PQT, where P and Q are two n × 2 complex matrices of full column rank such that QTP is singular. We solve the quadratic matrix equation AXA = XAX. Together with a previous paper devoted to the case that QTP is nonsingular, we have completely solved the matrix equation with any given matrix A of rank-two.

Remarks on the Sherman-Morrison-Woodbury formulae

Miroslav Fiedler (2003)

Mathematica Bohemica

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We present some results on generalized inverses and their application to generalizations of the Sherman-Morrison-Woodbury-type formulae.

Linear maps preserving rank 2 on the space of alternate matrices and their applications.

Cao, Chongguang, Tang, Xiaomin (2004)

International Journal of Mathematics and Mathematical Sciences

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Zero-term rank preservers of integer matrices

Seok-Zun Song, Young-Bae Jun (2006)

Discussiones Mathematicae - General Algebra and Applications

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The zero-term rank of a matrix is the minimum number of lines (row or columns) needed to cover all the zero entries of the given matrix. We characterize the linear operators that preserve the zero-term rank of the m × n integer matrices. That is, a linear operator T preserves the zero-term rank if and only if it has the form T(A)=P(A ∘ B)Q, where P, Q are permutation matrices and A ∘ B is the Schur product with B whose entries are all nonzero integers.

A basic decomposition result related to the notion of the rank of a matrix and applications.

Mortici, Cristinel (2003)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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Vector spaces of matrices of low rank and vector bundles on projective spaces: An addendum to a paper by Eisenbud and Harris.

Ballico, E. (1995)

Beiträge zur Algebra und Geometrie

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Maximal Subbundles of Rank Two Vector Bundles on Curves.

M.S. Narasimhan, H Lange (1984)

Mathematische Annalen

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The maximal and minimal ranks of $A - B X C$ with applications.

Tian, Yongge, Cheng, Shizhen (2003)

The New York Journal of Mathematics [electronic only]

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Possible numbers ofx’s in an {x,y}-matrix with a given rank

Chao Ma (2017)

Open Mathematics

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Let x, y be two distinct real numbers. An {x, y}-matrix is a matrix whose entries are either x or y. We determine the possible numbers of x’s in an {x, y}-matrix with a given rank. Our proof is constructive.