Hodge Theory of Isolated Hypersurface Singularities - Rahmati, Mohammad Reza
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Hodge conjecture asserts that for particularly nice types of spaces called projective algebraic varieties, the pieces called Hodge cycles are actually (rational linear) combinations of geometric pieces called algebraic cycles. Hodge theory concerns part of mathematics related to the above millennium prize problem initiated by William Hodge. It analysis the properties of objects, known as Hodge structures. Hodge theory is closely related to other areas of science as physics, field theories, differential equations,...

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Produktbeschreibung
Hodge conjecture asserts that for particularly nice types of spaces called projective algebraic varieties, the pieces called Hodge cycles are actually (rational linear) combinations of geometric pieces called algebraic cycles. Hodge theory concerns part of mathematics related to the above millennium prize problem initiated by William Hodge. It analysis the properties of objects, known as Hodge structures. Hodge theory is closely related to other areas of science as physics, field theories, differential equations,...
Autorenporträt
I am a professor of mathematics at BICMR, Beijing International Center for Mathematical Research. My major in mathematics is Hodge theory and algebraic geometry. The current text is prepared during my studies in CIMAT, Centro de Investigacion en Matematicas, through the years 2011-2014.