The Riemann–Roch Theorem on higher dimensional complex noncommutative tori
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DOI: 10.1016/j.geomphys.2019.103534
Abstract: Abstract We prove analogues of the Riemann–Roch Theorem and the Hodge Theorem for noncommutative tori (of any dimension) equipped with complex structures, and discuss implications for the question of how to distinguish “noncommutative abelian varieties”… read more here.
Keywords: riemann roch; noncommutative tori; theorem; roch theorem ... See more keywords
A note on Malmquist-Yosida type theorem of higher order algebraic differential equations
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30761-6
Abstract: Abstract In this article, we give a simple proof of Malmquist-Yosida type theorem of higher order algebraic differential equations, which is different from the methods as that of Gackstatter and Laine [2], and Steinmetz [12]. read more here.
Keywords: malmquist yosida; order algebraic; higher order; yosida type ... See more keywords