This text offers a collection of survey and research papers by leading specialists in the field documenting the current understanding of higher dimensional vari

Higher Dimensional Algebraic Geometry presents recent advances in the classification of complex projective varieties. Recent results in the minimal model progra

The book discusses a series of higher-dimensional moduli spaces, of abelian varieties, cubic and K3 surfaces, which have embeddings in projective spaces as very

The subject of this book is the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic