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Register a new userFujitas Freeness Conjecture for $T$-Varieties of Complexity One
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We prove Fujitas freeness conjecture for Gorenstein complexity-one $T$-varieties with rational singularities.
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We review a combinatoric approach to the Hodge Conjecture for Fermat Varieties and announce new cases where the conjecture is true.
We show that very general hypersurfaces in odd-dimensional simplicial projective toric varieties verifying a certain combinatorial property satisfy the Hodge conjecture (these include projective spaces). This gives a connection between the Oda conjecture and Hodge conjecture. We also give an explicit criterion which depends on the degree for very general hypersurfaces for the combinatorial condition to be verified.
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