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The Calabi Problem for Fano Threefolds
Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.
Birational Geometry, Kähler–Einstein Metrics and Degenerations
This book collects the proceedings of a series of conferences dedicated to birational geometry of Fano varieties held in Moscow, Shanghai and Pohang The conferences were focused on the following two related problems: • existence of Kähler–Einstein metrics on Fano varieties • degenerations of Fano varieties on which two famous conjectures were recently proved. The first is the famous Borisov–Alexeev–Borisov Conjecture on the boundedness of Fano varieties, proved by Caucher Birkar (for which he was awarded the Fields medal in 2018), and the second one is the (arguably even more famous) Tian–Yau–Donaldson Conjecture on the existence of Kähler–Einstein metrics on (smooth) Fano ...
Algebraic Geometry between Tradition and Future
An incredible season for algebraic geometry flourished in Italy between 1860, when Luigi Cremona was assigned the chair of Geometria Superiore in Bologna, and 1959, when Francesco Severi published the last volume of the treatise on algebraic systems over a surface and an algebraic variety. This century-long season has had a prominent influence on the evolution of complex algebraic geometry - both at the national and international levels - and still inspires modern research in the area. "Algebraic geometry in Italy between tradition and future" is a collection of contributions aiming at presenting some of these powerful ideas and their connection to contemporary and, if possible, future developments, such as Cremonian transformations, birational classification of high-dimensional varieties starting from Gino Fano, the life and works of Guido Castelnuovo, Francesco Severi's mathematical library, etc. The presentation is enriched by the viewpoint of various researchers of the history of mathematics, who describe the cultural milieu and tell about the bios of some of the most famous mathematicians of those times.
Letters of Sister Nivedita - Volume 2
A revised and enlarged edition of the Letters of Sister Nivedita in 2 volumes collected and edited by Prof. Sankari Prasad Basu. It comprises nearly a thousand letters from Sister Nivedita and also includes some received by her. This monumental new edition is to commemorate her 150th Birth Anniversary. The present Volume 2 contains letters penned in the years 1905—1911.
Letters of Sister Nivedita - Volume 1
A revised and enlarged edition of the Letters of Sister Nivedita in 2 volumes collected and edited by Prof. Sankari Prasad Basu. It comprises nearly a thousand letters from Sister Nivedita and also includes some received by her. This monumental new edition is to commemorate her 150th Birth Anniversary. The present Volume 1 contains letters penned in the years 1897—1904.
Nivedita
None
The Toss of a Lemon
In south India in 1896, ten-year old Sivakami is about to embark on a new life. Hanumarathnam, a village healer with some renown as an astrologer, has approached her parents with a marriage proposal. In keeping with custom, he provides his prospective in-laws with his horoscope. The problem is that his includes a prediction, albeit a weak one, that he will die in his tenth year of marriage. Despite the ominous horoscope, Sivakami’s parents hesitate only briefly, won over by the young man and his family’s reputation as good, upstanding Brahmins. Once married, Sivikami and Hanumarathnam grow to love one another and the bride, now in her teens, settles into a happy life. But the predictions...
The Empty Space
When a bomb explodes in a university cafe, nineteen students are killed. The Empty Space begins with the identification of these slain students. Slowly, each individual is claimed and taken away for a proper burial by their mourning family members. The final mother to enter the cafe identifies the nineteenth body as her eighteen-year-old son and brings him home in a casket. She not only brings home her dead son, though, but also the sole survivor of the blast, a three-year-old boy. By a strange quirk of fate, after the explosion he is found lying in a small empty space, alive and breathing. The Empty Space chronicles the memories of the boy dead, the story of the boy brought home, and the cataclysmic crossing of life and death.
That Empty Space
A bomb explodes in a university cafe, claiming the lives of nineteen students. The Empty Space begins with the identification of those nineteen dead. The mother who enters the cafe last to identify the nineteenth body brings home her dead eighteen-year-old son packed in a box, as well as the of thsole survivor e blast, a three-year-old boy who, by a strange quirk of fate, is found lying in a small empty space, alive and breathing. The Empty Space chronicles the memories of the boy gone, the story of the boy brought home, and the cataclysmic crossing of life and death.
