Complex Analytic Cycles II: The Cycle Space
Barlet, Daniel; Magnússon, Jón
Sold by Books Puddle, New York, NY, U.S.A.
AbeBooks Seller since 22 November 2018
New - Hardcover
Condition: New
Ships within U.S.A.
Quantity: 4 available
Add to basketSold by Books Puddle, New York, NY, U.S.A.
AbeBooks Seller since 22 November 2018
Condition: New
Quantity: 4 available
Add to basketThis book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here. It begins with the construction of the reduced complex space formed by all compact cycles of a given complex space. Following this construction the main subjects of the book are:
• Fundamental class of a cycle and relative fundamental class of an analytic family of cycles
• Intersection theory with parameters on complex manifolds and more generally on nearly smooth complex spaces
• Holomorphic currents on reduced complex spaces
• Chow varieties and cycle spaces of quasi-projective complex spaces
• Natural morphism from the Douady space to the cycle space
• Holomorphic convexity in cycle spaces and integration of $\bar{partial}$-cohomology classes on cycles
• Strong Kählerianity of cycle spaces of Kähler manifolds
• Numerous important applications of cycle space theory
Preliminaries needed in the book in addition to the material of the first volume, for instance sheaf cohomology with support, are explained in detail, making this two-volume work quite self-contained. The French version of the present book was published in 2020 by the French Mathematical Society in the series Cours Spécialisés and during the translation process the authors have in many ways improved the original version.
Daniel Barlet studied mathematics at the ENS Ulm (Paris) from 1966 to 1970. After his graduation he became assistant professor at the University of Paris VII, where he defended his thèse d’État in December 1974. From 1976 to 2011 he was professor at the University of Nancy I, which is today a part of the University of Lorraine. He was president of the French Mathematical Society (92/94) and was elected as a senior member of the Institut Universitaire de France (Analysis and Complex Geometry) from 1998 to 2003 and his chair was renewed for five years in 2003. Since 2011 he has been professor emeritus at the Institute of Elie Cartan at the University of Lorraine.
Jón Magnússon finished a B.Sc. in mathematics at the University of Iceland in 1976 and obtained a doctoral degree in mathematics from the University of Paris VII (Jussieu) in 1981. Since then he has been working, first as a research mathematician and later as a professor, at the University of Iceland. In 2023 he became a professor emeritus at the University of Iceland. His research interests are mainly in cycle space theory.
"About this title" may belong to another edition of this title.
We accept return for those books which are received damamged. Though we take appropriate care in packaing to avoid such situation.
If you are a consumer you can cancel the contract in accordance with the following. Consumer means any natural person who is acting for purposes which are outside his trade, business, craft or profession.
INFORMATION REGARDING THE RIGHT OF CANCELLATION
Statutory Right to cancel
You have the right to cancel this contract within 14 days without giving any reason.
The cancellation period will expire after 14 days from the day on which you acquire, or a third party other than the carrier and indicated by you acquires, physical possession of the the last good or the last lot or piece.
To exercise the right to cancel, you must inform us, Books Puddle, 244 Madison Ave, Suite # 405, 10016, New York, New York, U.S.A., +1 7183015977, of your decision to cancel this contract by a clear statement (e.g. a letter sent by post, fax or e-mail). You may use the attached model cancellation form, but it is not obligatory. You can also electronically fill in and submit a clear statement on our website, under "My Purchases" in "My Account". If you use this option, we will communicate to you an acknowledgement of receipt of such a cancellation on a durable medium (e.g. by e-mail) without delay.
To meet the cancellation deadline, it is sufficient for you to send your communication concerning your exercise of the right to cancel before the cancellation period has expired.
Effects of cancellation
If you cancel this contract, we will reimburse to you all payments received from you, including the costs of delivery (except for the supplementary costs arising if you chose a type of delivery other than the least expensive type of standard delivery offered by us).
We may make a deduction from the reimbursement for loss in value of any goods supplied, if the loss is the result of unnecessary handling by you.
We will make the reimbursement without undue delay, and not later than 14 days after the day on which we are informed about your decision to cancel with contract.
We will make the reimbursement using the same means of payment as you used for the initial transaction, unless you have expressly agreed otherwise; in any event, you will not incur any fees as a result of such reimbursement.
We may withhold reimbursement until we have received the goods back or you have supplied evidence of having sent back the goods, whichever is the earliest.
You shall send back the goods or hand them over to us or Books Puddle, 244 Madison Ave, Suite # 405, 10016, New York, New York, U.S.A., +1 7183015977, without undue delay and in any event not later than 14 days from the day on which you communicate your cancellation from this contract to us. The deadline is met if you send back the goods before the period of 14 days has expired. You will have to bear the direct cost of returning the goods. You are only liable for any diminished value of the goods resulting from the handling other than what is necessary to establish the nature, characteristics and functioning of the goods.
Exceptions to the right of cancellation
The right of cancellation does not apply to:
Model withdrawal form
(complete and return this form only if you wish to withdraw from the contract)
To: (Books Puddle, 244 Madison Ave, Suite # 405, 10016, New York, New York, U.S.A., +1 7183015977)
I/We (*) hereby give notice that I/We (*) withdraw from my/our (*) contract of sale of the following goods (*)/for the provision of the following goods (*)/for the provision of the following service (*),
Ordered on (*)/received on (*)
Name of consumer(s)
Address of consumer(s)
Signature of consumer(s) (only if this form is notified on paper)
Date
* Delete as appropriate.
| Order quantity | 12 to 19 business days | 12 to 14 business days |
|---|---|---|
| First item | £ 2.97 | £ 5.20 |
Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.