Let alpha be a big class on a compact Kahler manifold. We prove that a decomposition alpha = alpha_1 + alpha_2 into the sum of a modified ref class alpha_1 and a pseudo effective class alpha_2 is the divisorial Zariski decomposition if and only if, vol(alpha) = vol(alpha_1). We deduce from this result some properties of full mass currents.
Di Nezza, E., Floris, E., Trapani, S. (2017). Divisorial Zariski decomposition and some properties of full mass currents. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA. CLASSE DI SCIENZE, 17(4), 1383-1396 [10.2422/2036-2145.201509_001].
Divisorial Zariski decomposition and some properties of full mass currents
Di Nezza, Eleonora;Trapani, Stefano
2017-01-01
Abstract
Let alpha be a big class on a compact Kahler manifold. We prove that a decomposition alpha = alpha_1 + alpha_2 into the sum of a modified ref class alpha_1 and a pseudo effective class alpha_2 is the divisorial Zariski decomposition if and only if, vol(alpha) = vol(alpha_1). We deduce from this result some properties of full mass currents.File in questo prodotto:
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