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- W2040407498 abstract "We establish two versions of effective Łojasiewicz inequality for arithmetically defined affine varieties. As an application, we consider bihomogeneous polynomials on the complex Euclidean space which are positive along the affine cone of an arithmetically defined projective variety, and we obtain effective estimates on certain modifications needed to turn them into sums of squares of pointwise norms of homogeneous polynomials. The latter can be interpreted as an effective result on isometric embeddings for the associated indefinite Hermitian holomorphic line bundles." @default.
- W2040407498 created "2016-06-24" @default.
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- W2040407498 date "2009-07-01" @default.
- W2040407498 modified "2023-09-26" @default.
- W2040407498 title "EFFECTIVE ŁOJASIEWICZ INEQUALITY FOR ARITHMETICALLY DEFINED VARIETIES AND A GEOMETRIC APPLICATION TO BIHOMOGENEOUS POLYNOMIALS" @default.
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- W2040407498 doi "https://doi.org/10.1142/s0129167x09005534" @default.
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