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Construction of varieties of low codimension with applications to moduli spaces of varieties of general type

Construction of varieties of low codimension with applications to moduli spaces of varieties of general type

Abstract We develop a new way of systematically constructing infinitely many families of smooth subvarieties of any given dimension , , and any given codimension in , embedded by complete subcanonical linear series, and, in particular, in the range of Hartshorne's conjecture. We accomplish this by showing the existence of …